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Physics of Fluids / Volume 22 / Issue 6 / LETTERS

Phys. Fluids 22, 061705 (2010); http://dx.doi.org/10.1063/1.3455107 (4 pages)

Pulling bubbles from a bath

Justin C. T. Kao, Andrea L. Blakemore, and A. E. Hosoi

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

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(Received 10 March 2010; accepted 26 May 2010; published online 18 June 2010)

Deposition of bubbles on a wall withdrawn from a liquid bath is a phenomenon observed in many everyday situations—the foam lacing left behind in an emptied glass of beer, for instance. It is also of importance to the many industrial processes where uniformity of coating is desirable. We report work on an idealized version of this situation, the drag-out of a single bubble in Landau–Levich–Derjaguin flow. We find that a well-defined critical wall speed exists, separating the two regimes of bubble persistence at the meniscus and bubble deposition on the moving wall. Experiments show that this transition occurs at Ca∗ ∼ Bo0.73. A similar result is obtained theoretically by balancing viscous stresses and gravity.

© 2010 American Institute of Physics

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KEYWORDS and PACS

Keywords

bubbles, coatings, drag, foams, surface tension, two-phase flow, viscosity

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3455107

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    J. H. Snoeijer, A. J. Ziegler, B. Andreotti, M. Fermigier, and J. Eggers, “Thick films of viscous fluid coating a plate withdrawn from a liquid reservoir,” Phys. Rev. Lett. 100, 244502 (2008).

    B. Jin, A. Acrivos, and A. Münch, “The drag-out problem in film coating,” Phys. Fluids 17, 103603 (2005)PHFLE6000017000010103603000001.

    P. Aussillous and D. Quéré, “Quick deposition of a fluid on the wall of a tube,” Phys. Fluids 12, 2367 (2000)PHFLE6000012000010002367000001.

    J. Eggers, “Air entrainment through free-surface cusps,” Phys. Rev. Lett. 86, 4290 (2001).

    J. Ratulowski and H. -C. Chang, “Transport of gas bubbles in capillaries,” Phys. Fluids A 1, 1642 (1989)PFADEB000001000010001642000001.

    A. Saugey, W. Drenckhan, and D. Weaire, “Wall slip of bubbles in foams,” Phys. Fluids 18, 053101 (2006)PHFLE6000018000005053101000001.

    M. D. Giavedoni and F. A. Saita, “The axisymmetric and plane cases of a gas phase steadily displacing a Newtonian liquid—A simultaneous solution of the governing equations,” Phys. Fluids 9, 2420 (1997)PHFLE6000009000008002420000001.


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